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From: Lawrence Paulson <lp15@cam.ac.uk>
To: Categories <categories@mta.ca>
Subject: Re: Topos logic arises naturally
Date: Wed, 4 Jun 2003 10:25:49 +0100	[thread overview]
Message-ID: <879725FB-966E-11D7-BEF0-00039384D4B8@cam.ac.uk> (raw)
In-Reply-To: <16092.50933.427818.743898@localhost.localdomain>

On Tuesday, June 3, 2003, at 05:04  pm, Todd Wilson wrote:

> But this is the heart of the matter.  There is a certain precise sense
> in which what happens in a topos between the empty set and a singleton
> set governs the behavior of the rest of the topos.

The point of my message is merely to counter suggestions on this
mailing list that Isabelle's underlying logic was cooked up in some
ad-hoc way and is incoherent.  The basic logic comes from a standard
source.  Extensions (type classes especially) were thought through very
carefully.  We have never claimed allegiance to any school of
constructivity.

Larry Paulson






  reply	other threads:[~2003-06-04  9:25 UTC|newest]

Thread overview: 8+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2003-06-03  9:24 Lawrence Paulson
2003-06-03 16:04 ` Todd Wilson
2003-06-04  9:25   ` Lawrence Paulson [this message]
  -- strict thread matches above, loose matches on Subject: below --
2003-06-02 18:11 Valeria.dePaiva
2003-05-27 10:44 Till Mossakowski
2003-05-30 11:35 ` Elwood Wilkins
2003-05-30 14:37   ` Till Mossakowski
2003-06-01 16:05   ` Toby Bartels

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